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Finding the Fourth Proportional to 101,441, 139,989.06 and 56,729

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Solution

The fourth proportional to 101,441, 139,989.06 and 56,729 is: 78,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,441 : 139,989.06 = 56,729 : x
  2. Step 2: Convert to fraction form
    101,441/139,989.06 = 56,729/x
  3. Step 3: Cross multiply
    101,441x = 139,989.06 × 56,729
  4. Step 4: Simplify right side
    101,441x = 7,941,439,384.74
  5. Step 5: Solve for x
    x = 7,941,439,384.74/101,441
  6. Step 6: Final answer
    x = 78,286.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.